Understanding linear equations in one variable

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What is a linear equation in one variable?

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A linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

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How do you translate a verbal statement into a linear equation?

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Identify keywords in the statement (like 'sum', 'difference', 'product', 'quotient') and use them to form an equation with a variable.

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What does 'the difference of seven times a number and 15 is 41' translate to in an equation?

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If 8 is subtracted from a number, the result is 17. What is the equation?

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Translate 'the quotient of the ladder's height and 4 is 6' into an equation using h for height.

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How do you find the breakeven point in a cost and revenue scenario?

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Set the total cost equal to total revenue and solve for the variable representing quantity.

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What does '12 less than the quotient of a number and 3 is 24' translate to in an equation?

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